Name: Date: Ex: A car travels 60 miles at 20 mph and 80 miles at 40 mph. What is its overall average speed? Ex Parts 1st Part Time t = d ÷ s [t = 3] Distance 60 miles Average Speed 20 mph 2nd Part t = d ÷ s [t = 2] 80 miles 40 mph Totals Total time = 5 hours Total Dist = 140 miles Av Speed = Total Distance ÷ Total Time Average Speed = 140 ÷ 5 = 28 mph. Q1. Ex A car travels 120 miles at 40 mph and 120 miles at 60 mph. What is its average speed? Parts 1st Part Time t=d÷s[ Distance ] d=s×t[ 2nd Part t=d÷s[ ] d=s×t[ Totals Total time = [ Q2. Ex ] Average Speed s=d÷t [ ] ] s=d÷t [ ] Total Distance = ] [ Average Speed = Total Distance ÷ Total Time Average Speed = [ ] ] For 2 hours of a 100 mile journey the average speed is 30 mph and the average speed of the remainder is 40 mph. What is its overall average speed? Parts 1st Part Time t=d÷s[ Distance ] d=s×t[ 2nd Part t=d÷s[ ] d=s×t[ Totals Total time = [ Rule 1: Distance = Speed x Time Total Distance = ] [ Rule 2: Speed = Distance ÷ Time ] ] Average Speed s=d÷t [ ] ] s=d÷t [ ] Average Speed = Total Distance ÷ Total Time Average Speed = [ ] Rule 3: Time = Distance ÷ Speed Name: Date: Q3. On an outward journey of 240 miles a motorist takes 6 hours and on the return journey he takes 2 hours less. a) Calculate the outward journey speed. b) Calculate the return journey speed? c) Calculate the overall Average speed of the whole journey. Ex Parts 1st Part Time t=d÷s[ Distance ] d=s×t[ 2nd Part t=d÷s[ ] d=s×t[ Totals Total time = [ Q4. Ex Ex ] ] s=d÷t [ ] Total Distance = ] [ Average Speed = Total Distance ÷ Total Time Average Speed = [ ] ] An aeroplane travels 1000 km in 2 ½ hours. What is its speed? It then travels for 5 ½ hours at a speed of 800 kmh. a) How far has it travelled altogether? b) What is the total time taken? c) Calculate the overall Average speed. Parts 1st Part Time t=d÷s[ Distance ] d=s×t[ 2nd Part t=d÷s[ ] d=s×t[ Totals Total time = [ Q5. ] Average Speed s=d÷t [ ] Average Speed s=d÷t [ ] ] s=d÷t [ ] Total Distance = ] [ Average Speed = Total Distance ÷ Total Time Average Speed = [ ] ] A plane travels for 3 hours at 500 kmh and for 2 hours at 650 kmh. a) Calculate the total distance travelled. b) What is its overall average speed? Parts 1st Part Time t=d÷s[ Distance ] d=s×t[ 2nd Part t=d÷s[ ] d=s×t[ Totals Total time = [ Rule 1: Distance = Speed x Time Total Distance = ] [ Rule 2: Speed = Distance ÷ Time ] ] Average Speed s=d÷t [ ] ] s=d÷t [ ] Average Speed = Total Distance ÷ Total Time Average Speed = [ ] Rule 3: Time = Distance ÷ Speed Name: Date: Q6. A car travels for 2 hours at 25 mph and 90 miles at 30 mph. a) Calculate the total time. b) Calculate the total distance travelled? c) Calculate the overall Average speed of the whole journey. Ex Parts 1st Part Time t=d÷s[ Distance ] d=s×t[ 2nd Part t=d÷s[ ] d=s×t[ Totals Total time = [ Q7. Ex Ex ] ] s=d÷t [ ] Total Distance = ] [ Average Speed = Total Distance ÷ Total Time Average Speed = [ ] ] Calculate the overall average speed of a journey of 180 miles where the first 120 miles are travelled at an average speed of 40 mph and the remainder at an average of 30 mph. Parts 1st Part Time t=d÷s[ Distance ] d=s×t[ 2nd Part t=d÷s[ ] d=s×t[ Totals Total time = [ Q8. ] Average Speed s=d÷t [ ] Average Speed s=d÷t [ ] ] s=d÷t [ ] Total Distance = ] [ Average Speed = Total Distance ÷ Total Time Average Speed = [ ] ] A motorist drives for 3 ½ hours at a speed of 50 mph. he then travels for 2 ½ hours at a speed of 60 mph. What is its overall average speed? Parts 1st Part Time t=d÷s[ Distance ] d=s×t[ 2nd Part t=d÷s[ ] d=s×t[ Totals Total time = [ Rule 1: Distance = Speed x Time Total Distance = ] [ Rule 2: Speed = Distance ÷ Time ] ] Average Speed s=d÷t [ ] ] s=d÷t [ ] Average Speed = Total Distance ÷ Total Time Average Speed = [ ] Rule 3: Time = Distance ÷ Speed
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